This book offers a new account of Analytical Mechanics, often interchangeably referred to as Theoretical Mechanics, Classical Mechanics or Classical Dynamics, which is the foundational framework behind much of theoretical physics. Building on the landmark ideas of Isaac Newton (1642-1727), Leonhard Euler (1707-1783), Joseph-Louis Lagrange (1736-1813), Carl Jacobi (1804-1851) and William Hamilton (1805-1865, Analytical Mechanics lies at the heart of theoretical physics. It provides the fundamental concepts and methods other branches are based on. Despite its long history, analytical mechanics continues to be the topic of active research with key novel insights achieved only during the last few decades, most notably in the context of non-linear dynamics and chaos and the classical-quantum correspondence in complex systems.This book attempts to provide a fresh look at this venerable subject, by aiming to provide students with a rigorous and cohesive pathway from analytical mechanics to current topics of a modern physics curriculum.
